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If a : b : c = 2 : 3 : 4 and 2a – 3b + 4c = 33, then the value of c is ______.

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Question

If a : b : c = 2 : 3 : 4 and 2a – 3b + 4c = 33, then the value of c is ______.

Options

  • 6

  • 9

  • `66/7`

  • 12

MCQ
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Solution

If a : b : c = 2 : 3 : 4 and 2a – 3b + 4c = 33, then the value of c is 12.

Explanation:

Let a = 2k, b = 3k and c = 4k.

Substitution gives 11k = 33, so k = 3 and c = 12.

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Chapter 7: Ratio and Proportion - COMPETENCY-FOCUSED QUESTIONS [Page 116]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 7 Ratio and Proportion
COMPETENCY-FOCUSED QUESTIONS | Q 39. | Page 116
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